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question : childrens toy company sensitivity analysis ( c/s ratio)

Forums › Ask ACCA Tutor Forums › Ask the Tutor ACCA APM Exams › question : childrens toy company sensitivity analysis ( c/s ratio)

  • This topic has 1 reply, 2 voices, and was last updated 10 years ago by Ken Garrett.
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  • Author
    Posts
  • October 5, 2014 at 7:07 am #203519
    chicababes1991
    Member
    • Topics: 19
    • Replies: 11
    • ☆

    hi
    i am currently having difficulties in part b ii question childrens toy company

    the question goes like that
    calculate the minimum target contribution to sales ratio at which nellie the elephant will be financially viable, assuming that all other data remain unchanged

    to my understanding this is sensitivity analysis
    the formulae is NPV / PV of cash flows affected

    i am having difficulties in understanding which PV of cash flows is affected since it says contribution to sales ratio
    i know contribution to sales ratio there is contribution involved that might be affected and there is sales figure which i can calculate the PV and put in the formulae

    how am i suppose to know which one to take? either the contribution PV or the sales PV?

    i would appreciate if someone could kindly help me out please

    October 5, 2014 at 8:33 pm #203587
    Ken Garrett
    Keymaster
    • Topics: 10
    • Replies: 10589
    • ☆☆☆☆☆

    No. In this part of the question, the sales revenue stays the same, but the contribution earned from each $1 sale has to incease from $0.5 to a higher figure to eradicate the initial negative NPV.

    Here’s the ACCA working:

    Let X = the change in the contribution to sales ratio (%)

    For Nellie the Elephant to become financially viable, an increase in the contribution to sales ratio (%) is required [to eliminate the negative NPV of $426,932. This
    can be calculated as follows:

    (4 x X x 0·893) + (9 x X x 0·797) + (5 x X x 0·712) = 0·426932
    i.e 3·572X + 7·173X + 3·56X = 0·426932

    [Note in the first term 4 x X x 0.893, 4 is the first year sales X is the increase in C/S, 0.893 is the discount factor similarly for other terms]
    ?
    14·305X = 0·426932
    ?
    X = 0·02985
    This means that the required contribution to sales ratio (%) = 0·50 + 0·02985 = 0·52985 or 52·985%. This would
    result in a net present value = 0.

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